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Finding the Fourth Proportional to 113,152, 169,728 and 39,280

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Solution

The fourth proportional to 113,152, 169,728 and 39,280 is: 58,920

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,152 : 169,728 = 39,280 : x
  2. Step 2: Convert to fraction form
    113,152/169,728 = 39,280/x
  3. Step 3: Cross multiply
    113,152x = 169,728 × 39,280
  4. Step 4: Simplify right side
    113,152x = 6,666,915,840
  5. Step 5: Solve for x
    x = 6,666,915,840/113,152
  6. Step 6: Final answer
    x = 58,920

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.